{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2ea0ee83-babe-4863-a104-9448cd8f1e34",
   "metadata": {},
   "outputs": [],
   "source": [
    "Threads.nthreads()=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "7141884a-2e18-4a49-8106-723179f15731",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "color scheme: :RdPu_4, length: 4\n",
      "angles = (0, 90, 45, -45)\n",
      "shape(squircle, 1108, 751, rt=0.956, color=0.0, padding=81)\n",
      "font = \"Helvetica\"\n",
      "mask size: 913×1270, content area: 814² (36²/word)\n",
      "set fontsize ∈ [8.0, 456.5]\n",
      "set density = 0.5\n",
      "⋯scale=38.360193488099675, density=0.4672092075047146\t↓\n",
      "⋯scale=39.6835114870467, density=0.4963031990553284\t↓\n",
      "fontsize ∈ [8.0, 89.17574472897041]\n",
      "222 words(44%) are limited to the minimum font size.\n"
     ]
    }
   ],
   "source": [
    "# using Revise\n",
    "using WordCloud\n",
    "using Random\n",
    "using BenchmarkTools\n",
    "\n",
    "Random.seed!(148)\n",
    "words = [randstring(rand(1:8)) for i in 1:500]\n",
    "weights = randexp(length(words))\n",
    "wc = wordcloud(words, weights);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "9214e672-116b-47ec-b8c8-02396d5710ab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Stuffing.QTrees"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qts = wc.qtrees;\n",
    "QTrees = WordCloud.Stuffing.QTrees"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "6791a84d-da6a-486a-aa5d-5285cb45edca",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: using StatsBase.weights in module Main conflicts with an existing identifier.\n"
     ]
    }
   ],
   "source": [
    "using StatsBase"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "f08c16a3-c845-40e5-a426-65184c1a0c80",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "BenchmarkTools.Trial: 86 samples with 1 evaluation.\n",
       " Range \u001b[90m(\u001b[39m\u001b[36m\u001b[1mmin\u001b[22m\u001b[39m … \u001b[35mmax\u001b[39m\u001b[90m):  \u001b[39m\u001b[36m\u001b[1m51.383 ms\u001b[22m\u001b[39m … \u001b[35m79.319 ms\u001b[39m  \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmin … max\u001b[90m): \u001b[39m0.00% … 4.37%\n",
       " Time  \u001b[90m(\u001b[39m\u001b[34m\u001b[1mmedian\u001b[22m\u001b[39m\u001b[90m):     \u001b[39m\u001b[34m\u001b[1m58.262 ms              \u001b[22m\u001b[39m\u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmedian\u001b[90m):    \u001b[39m5.91%\n",
       " Time  \u001b[90m(\u001b[39m\u001b[32m\u001b[1mmean\u001b[22m\u001b[39m ± \u001b[32mσ\u001b[39m\u001b[90m):   \u001b[39m\u001b[32m\u001b[1m58.737 ms\u001b[22m\u001b[39m ± \u001b[32m 3.823 ms\u001b[39m  \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmean ± σ\u001b[90m):  \u001b[39m3.39% ± 2.90%\n",
       "\n",
       "  \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▂\u001b[39m \u001b[39m▂\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▂\u001b[39m█\u001b[34m \u001b[39m\u001b[32m \u001b[39m\u001b[39m▂\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m▆\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \n",
       "  \u001b[39m▄\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▆\u001b[39m▁\u001b[39m▄\u001b[39m▁\u001b[39m▄\u001b[39m▁\u001b[39m▁\u001b[39m█\u001b[39m▄\u001b[39m▆\u001b[39m▄\u001b[39m█\u001b[39m▄\u001b[39m█\u001b[39m▄\u001b[39m█\u001b[39m█\u001b[39m▆\u001b[39m█\u001b[39m▄\u001b[39m█\u001b[39m█\u001b[34m█\u001b[39m\u001b[32m▆\u001b[39m\u001b[39m█\u001b[39m▄\u001b[39m▄\u001b[39m█\u001b[39m▆\u001b[39m█\u001b[39m▄\u001b[39m█\u001b[39m▆\u001b[39m▄\u001b[39m▁\u001b[39m▆\u001b[39m▁\u001b[39m▄\u001b[39m▄\u001b[39m▁\u001b[39m▄\u001b[39m▁\u001b[39m▄\u001b[39m▁\u001b[39m▁\u001b[39m▆\u001b[39m▁\u001b[39m▁\u001b[39m▆\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▄\u001b[39m \u001b[39m▁\n",
       "  51.4 ms\u001b[90m         Histogram: frequency by time\u001b[39m        67.3 ms \u001b[0m\u001b[1m<\u001b[22m\n",
       "\n",
       " Memory estimate\u001b[90m: \u001b[39m\u001b[33m53.26 MiB\u001b[39m, allocs estimate\u001b[90m: \u001b[39m\u001b[33m143590\u001b[39m."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "BenchmarkTools.Trial: 84 samples with 1 evaluation.\n",
       " Range \u001b[90m(\u001b[39m\u001b[36m\u001b[1mmin\u001b[22m\u001b[39m … \u001b[35mmax\u001b[39m\u001b[90m):  \u001b[39m\u001b[36m\u001b[1m52.140 ms\u001b[22m\u001b[39m … \u001b[35m99.643 ms\u001b[39m  \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmin … max\u001b[90m): \u001b[39m0.00% … 7.94%\n",
       " Time  \u001b[90m(\u001b[39m\u001b[34m\u001b[1mmedian\u001b[22m\u001b[39m\u001b[90m):     \u001b[39m\u001b[34m\u001b[1m58.701 ms              \u001b[22m\u001b[39m\u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmedian\u001b[90m):    \u001b[39m0.00%\n",
       " Time  \u001b[90m(\u001b[39m\u001b[32m\u001b[1mmean\u001b[22m\u001b[39m ± \u001b[32mσ\u001b[39m\u001b[90m):   \u001b[39m\u001b[32m\u001b[1m60.189 ms\u001b[22m\u001b[39m ± \u001b[32m 8.305 ms\u001b[39m  \u001b[90m┊\u001b[39m GC \u001b[90m(\u001b[39mmean ± σ\u001b[90m):  \u001b[39m5.61% ± 6.25%\n",
       "\n",
       "  \u001b[39m \u001b[39m▅\u001b[39m▃\u001b[39m█\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[34m \u001b[39m\u001b[39m \u001b[39m \u001b[32m \u001b[39m\u001b[39m \u001b[39m \u001b[39m \u001b[39m▃\u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \u001b[39m \n",
       "  \u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m█\u001b[39m▇\u001b[39m▆\u001b[39m▅\u001b[39m▃\u001b[34m▁\u001b[39m\u001b[39m▅\u001b[39m▅\u001b[32m▅\u001b[39m\u001b[39m█\u001b[39m█\u001b[39m▇\u001b[39m█\u001b[39m▇\u001b[39m▆\u001b[39m▃\u001b[39m▃\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▃\u001b[39m▅\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▃\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▁\u001b[39m▃\u001b[39m \u001b[39m▁\n",
       "  52.1 ms\u001b[90m         Histogram: frequency by time\u001b[39m        97.1 ms \u001b[0m\u001b[1m<\u001b[22m\n",
       "\n",
       " Memory estimate\u001b[90m: \u001b[39m\u001b[33m39.39 MiB\u001b[39m, allocs estimate\u001b[90m: \u001b[39m\u001b[33m343413\u001b[39m."
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Threads.nthreads() = begin\n",
      "        #= In[51]:1 =#\n",
      "        12\n",
      "    end = nothing\n",
      "(mean(bn.times), mean(br.times)) = (5.873747434883721e7, 6.018935621428572e7)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "\"native\""
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@show Threads.nthreads()=12\n",
    "n = 40\n",
    "samples = [StatsBase.sample(1:500, n, replace=false) for i in 1:1000]\n",
    "bn = @benchmark for inds in samples\n",
    "    QTrees.batchcollisions_native(qts, inds)\n",
    "end\n",
    "display(bn)\n",
    "br = @benchmark for inds in samples\n",
    "    QTrees.batchcollisions_region(qts, inds, unique=false)\n",
    "end\n",
    "display(br)\n",
    "@show mean(bn.times), mean(br.times)\n",
    "mean(bn.times)>mean(br.times) ? \"region\" : \"native\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "eb900a6f-4059-44a4-882e-2344f4ce5d11",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"TH1\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\"TH2\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\"TH3\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\"TH4\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\"TH5\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\"TH6\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\"TH7\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\"TH8\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\"TH9\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\"TH10\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\"TH11\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "\"TH12\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R = []\n",
    "TH = 1:12\n",
    "SP = 1:40\n",
    "for th in TH\n",
    "    display(\"TH$th\")\n",
    "    nat = []\n",
    "    reg = []\n",
    "    Threads.nthreads()=th\n",
    "    for n in SP\n",
    "        samples = [StatsBase.sample(1:500, n, replace=false) for i in 1:1000]\n",
    "        bn = @benchmark for inds in samples\n",
    "            QTrees.batchcollisions_native(qts, inds)\n",
    "        end\n",
    "        br = @benchmark for inds in samples\n",
    "            QTrees.batchcollisions_region(qts, inds, unique=false)\n",
    "        end\n",
    "        push!(nat, mean(bn.times))\n",
    "        push!(reg, mean(br.times))\n",
    "    end\n",
    "    push!(R, (nat, reg))\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "d8b88d35-f8a1-43c9-9beb-fc381ed2750d",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "using Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "1febe7e3-23d9-456e-89d6-e776d0f48bd6",
   "metadata": {},
   "outputs": [
    {
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for th in TH\n",
    "    nat, reg = R[th]\n",
    "    plot(SP, nat)\n",
    "    plot!(SP, reg) \n",
    "    title!(\"TH$th\")|> display\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "39571e54-29ba-44cd-b56c-17b9aa80218c",
   "metadata": {},
   "outputs": [
    {
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       " 38\n",
       " 37\n",
       " 36\n",
       " 37\n",
       " 38"
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      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C = []\n",
    "for th in TH\n",
    "    nat, reg = R[th]\n",
    "    ci = findlast(i->nat[i]<reg[i],1:40)\n",
    "    push!(C, ci)\n",
    "end\n",
    "display(C)\n",
    "p = plot(C)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "c56c8287-c873-48d1-b328-0d61c5cf2928",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[10, 19, 28, 35, 38, 38, 38, 38, 37, 36, 37, 38]\n",
      "[10, 20, 26, 30, 33, 36, 38, 40, 42, 43, 45, 46]\n"
     ]
    }
   ],
   "source": [
    "println(Int.(C))\n",
    "println([round(Int, 10+10log2(th)) for th in 1:12])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "64dcf7ac-5fd1-43f9-aa7c-f77986a49cd7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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